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anastassius [24]
2 years ago
9

Find the value of y. Round to the nearest tenths place.

Mathematics
2 answers:
Usimov [2.4K]2 years ago
6 0
Are there any options on the test or homework
ale4655 [162]2 years ago
4 0

Answer:

y = 12

Step-by-step explanation:

Look at the left triangle first.  Opposite the 30 degree angle (not shown) is the shortest side, which (according to the sine function) is half the hypotenuse, or 2√3.  Then (2√3)² + x² = (4√3)², or

4(3) + x² = 16(3).  Thus, x² = 16(3) - 4(3) = 12(3) = 36, and so x = 6.  Again using the sine function, we find that x = 2y = 6, so, using the sine function, we find that sin 30° = 6/y.  Thus y = 6 / (2/1) = 12  =  y

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124

Step-by-step explanation:

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3 years ago
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Trigonometric identities assignment 4
kykrilka [37]

Answer:

<em>Answer: choice D.</em>

Step-by-step explanation:

<u>Trigonometric Functions</u>

We need to recall some properties and definitions of the trigonometric functions.

\displaystyle \tan \theta=\frac{\sin\theta}{\cos\theta}

\displaystyle \sec \theta=\frac{1}{\cos\theta}

We need to simplify the following expression:

5\sin\theta\sec\theta

Substituting the identity for the secant:

\displaystyle 5\sin\theta\sec\theta=5\sin\theta.\frac{1}{\cos\theta}

Operating:

\displaystyle 5\sin\theta\sec\theta=5\frac{\sin\theta}{\cos\theta}

Substituting the definition of the tangent:

\displaystyle 5\sin\theta\sec\theta=5\tan\theta

Correct choice D.

6 0
2 years ago
Tyree plans to use SSS to prove two triangles made from a sheet of paper are the same. Which diagram best supports his plan to u
Ilya [14]

Answer:

Bottom left choice

Step-by-step explanation:

SSS congruence is side-side-side congruence, which is a method to prove triangles congruent by all three sides of the triangle being congruent. The other choices all involve congruent angles. Therefore, the bottom left choice is the best answer.

Also, notice that the bottom left choice shows which side is congruent to which. All three sides of one of the triangles are shown to be congruent with the corresponding side to the other triangle, therefore, congruent by SSS.

I hope this helps! :)

8 0
3 years ago
Convert the following equation into slope intercept form. 3x + 21y = 21 Stars
RideAnS [48]

Answer:

y = -(1/7)x + 1

Step-by-step explanation:

3x + 21y = 21 \\ 21y = 21 - 3x \\ y =  \frac{21 - 3x}{21}  \\ y = 1 -  \frac{1}{7} x \\ y =  -  \frac{1}{7} x + 1

6 0
2 years ago
1. Jill had the following scores on quizzes. 1 quiz: 1 3 quizzes: 2 4 quizzes: 3
Irina-Kira [14]
The mean score is 3.08.

There is 1 quiz with score 1, so 1 point; 3 quizzes with score 2 for 3*2 = 6 points; 4 quizzes with score 3 for 4*3 = 12 points; 4 quizzes with score 4 for 4*4 = 16 points; and 1 quiz with score 5 for 5 points.

This is a total of 1+6+12+16+5 = 40 points.

This is out of 1+3+4+4+1 = 13 quizzes.

40/13 = 3.08
7 0
3 years ago
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